In this paper we prove some results on the covering morphisms of internal groupoids.We also give a result on the coverings of the crossed modules of groups with operations.

In this paper, the monodromy groupoids of internal groupoids in the topological groups with operations are studied and a monodromy principle for internal groupoids in groups with operations is obtained.

In this paper, we introduce and discuss soft single points, which proceed towards soft real points by using real numbers and subsets of set of real numbers. We also define the basic operations on soft real points and explore the algebraic properties. We observe that the set of all soft real points forms a ring. Moreover, we study the soft real point metric using soft real point and explore some of its properties. We then establish a soft real point contraction fixed point theorem using soft real point metric space. It is interesting to mention that these concepts may be helpful for researchers to navigate the ideas put forth in a soft metric extension of several important fixed point theorems for metric spaces deduced from comparable existing results.

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In this paper, we define and investigate soft real point matrices and their operations which are more functional to make theoretical studies in the soft real point set theory. We then define products of soft real point matrices and their properties. Examples are also provided to validate the existence of defined notions.